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math.NA2014
On the existence of nonoscillatory phase functions for second order differential equations in the high-frequency regime
Jhu Heitman, James Bremer, Vladimir Rokhlin
We observe that solutions of a large class of highly oscillatory second order linear ordinary differential equations can be approximated using nonoscillatory phase functions. In ad…
math.NA2014★ 2 cited
On the asymptotics of Bessel functions in the Fresnel regime
Jhu Heitman, James Bremer, Vladimir Rokhlin +1
We introduce a version of the asymptotic expansions for Bessel functions , that is valid whenever (which is deep in the Fresnel regime), as opposed to th…